Pith Number

pith:XE65YCLK

pith:2010:XE65YCLKN6FY3XGRF7ZY67YFDO

not attested not anchored not stored refs pending

New Approaches to Probing Minkowski Functionals

Alan Heavens, Alessandro Renzi, Asantha Cooray, Dipak Munshi, Joseph Smidt, Peter Coles

arxiv:1011.5224 v2 · 2010-11-23 · astro-ph.CO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XE65YCLKN6FY3XGRF7ZY67YFDO}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T02:04:41.676749Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b93ddc096a6f8b8ddcd12ff38f7f051bb2eccb7349ee98dfbd02b07fac36c8ef

Aliases

arxiv: 1011.5224 · arxiv_version: 1011.5224v2 · doi: 10.48550/arxiv.1011.5224 · pith_short_12: XE65YCLKN6FY · pith_short_16: XE65YCLKN6FY3XGR · pith_short_8: XE65YCLK

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/XE65YCLKN6FY3XGRF7ZY67YFDO \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: b93ddc096a6f8b8ddcd12ff38f7f051bb2eccb7349ee98dfbd02b07fac36c8ef

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b003bbad87dfd94b8fc65f3b0cf0cc92f09f5fd6b078a94fc79179a350675d23",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2010-11-23T21:00:04Z",
    "title_canon_sha256": "509fe8d27d4e60ae9da71b14969b41462d9c2cb35eedf1a1aa4f6944e6e8d719"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.5224",
    "kind": "arxiv",
    "version": 2
  }
}